Question:medium

Study the pie chart and table and answer the questions
StoreRespective ratio of number of linen kurtis to cotton kurtis sold
A7:5
B5:6
C3:2
D5:3
E4:3
F7:3
total no. of Kurtis
Distribution of total no. of Kurtis (cotton and linen) sold by six different stores in 2016,where total kurtis sold are 84,000
What is the difference between average number of linen kurtis sold by stores D and E together and average number of cotton kurtis sold by the same stores together?

Updated On: Jan 13, 2026
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The Correct Option is A

Solution and Explanation

We analyze the distribution of kurtis sold across six stores. A pie chart shows the percentage each store contributes to total sales, and a table (not provided, implied) details the linen-to-cotton kurtis ratio for each store.

Total kurtis sold: 84,000. The pie chart percentages are:

  • Store A: 16%
  • Store B: 22%
  • Store C: 8%
  • Store D: 12%
  • Store E: 28%
  • Store F: 14%

Step 1

Calculate kurtis sold by stores D and E.

Store D kurtis = \( 84,000 \times \frac{12}{100} = 10,080 \)

Store E kurtis = \( 84,000 \times \frac{28}{100} = 23,520 \)

Step 2

Determine linen and cotton kurtis using the given ratios.

For Store D, linen-to-cotton ratio is 5 : 3 (5 linen for every 8 kurtis):

Store D linen = \( \frac{5}{8} \times 10,080 = 6,300 \)

Store D cotton = \( \frac{3}{8} \times 10,080 = 3,780 \)

For Store E, linen-to-cotton ratio is 4 : 3 (4 linen for every 7 kurtis):

Store E linen = \( \frac{4}{7} \times 23,520 = 13,440 \)

Store E cotton = \( \frac{3}{7} \times 23,520 = 10,080 \)

Step 3

Calculate the average number of linen and cotton kurtis sold by D and E together.

Average linen:

\( \frac{6,300 + 13,440}{2} = \frac{19,740}{2} = 9,870 \)

Average cotton:

\( \frac{3,780 + 10,080}{2} = \frac{13,860}{2} = 6,930 \)

Step 4

Calculate the difference between the averages.

Difference (linen - cotton):

\( 9,870 - 6,930 = 2,940 \)

Answer: (1) 2,940.

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